2+3x=2(-x+2)-17

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Solution for 2+3x=2(-x+2)-17 equation:


Simplifying
2 + 3x = 2(-1x + 2) + -17

Reorder the terms:
2 + 3x = 2(2 + -1x) + -17
2 + 3x = (2 * 2 + -1x * 2) + -17
2 + 3x = (4 + -2x) + -17

Reorder the terms:
2 + 3x = 4 + -17 + -2x

Combine like terms: 4 + -17 = -13
2 + 3x = -13 + -2x

Solving
2 + 3x = -13 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
2 + 3x + 2x = -13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
2 + 5x = -13 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 5x = -13 + 0
2 + 5x = -13

Add '-2' to each side of the equation.
2 + -2 + 5x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -13 + -2
5x = -13 + -2

Combine like terms: -13 + -2 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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